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Finding the Fourth Proportional to 57,229.65, 78,977.84 and 31,737.06

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Solution

The fourth proportional to 57,229.65, 78,977.84 and 31,737.06 is: 43,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,229.65 : 78,977.84 = 31,737.06 : x
  2. Step 2: Convert to fraction form
    57,229.65/78,977.84 = 31,737.06/x
  3. Step 3: Cross multiply
    57,229.65x = 78,977.84 × 31,737.06
  4. Step 4: Simplify right side
    57,229.65x = 2,506,524,288.07
  5. Step 5: Solve for x
    x = 2,506,524,288.07/57,229.65
  6. Step 6: Final answer
    x = 43,797.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.